20628000 has 192 divisors, whose sum is σ = 75479040. Its totient is φ = 5472000.

The previous prime is 20627983. The next prime is 20628011. The reversal of 20628000 is 82602.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 107905 + ... + 108095.

It is an arithmetic number, because the mean of its divisors is an integer number (393120).

Almost surely, 2^20628000 is an apocalyptic number.

20628000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20628000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37739520).

20628000 is an abundant number, since it is smaller than the sum of its proper divisors (54851040).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

20628000 is a wasteful number, since it uses less digits than its factorization.

20628000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 225 (or 201 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 20628000 is about 4541.8058082661. The cubic root of 20628000 is about 274.2536234777.

The spelling of 20628000 in words is "twenty million, six hundred twenty-eight thousand".